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Finding the Third Proportional to 53,219.75 and 80,051.25

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Solution

The third proportional to 53,219.75 and 80,051.25 is: 120,410.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,219.75 : 80,051.25 = 80,051.25 : x
  2. Step 2: Convert to fraction form
    53,219.75/80,051.25 = 80,051.25/x
  3. Step 3: Cross multiply
    53,219.75x = 80,051.25 × 80,051.25
  4. Step 4: Simplify right side
    53,219.75x = 6,408,202,626.56
  5. Step 5: Solve for x
    x = 6,408,202,626.56/53,219.75
  6. Step 6: Final answer
    x = 120,410.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.